2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147155In this paper we introduce an elliptic analog of the Bloch-Suslin complex and prove that it (essentially) computes the weight two parts of the groups $K_2(E)$ and $K_1(E)$ for an elliptic curve $E$ over an arbitrary field $k$. Combining this with the results of Bloch and Beilinson we proved Zagier's conjecture on $L(E,2)$ for modular elliptic curves over $\Bbb Q$.this is the final version of our paper LaTeXAlgebraic Geometrytext